Part G.find the components of the vector TT=A+B+2C(express x and v vectors in meters seperated by a comma)Part H.Find the magnitude of TPart I.State the direction of vector T in terms of an angle measured counterclockwise from the positive x-axis.

The approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

Given,

Number of trials of the simulation were performed = 25

Number of set of simulated shots = 10

We have to find the approximate probability that a 47% shooter makes  5 or more shots in 10 attempts;

The dots in the 5 shot mark is 9, 6 shot mark is 2, and 7 shot mark is 1.

Now the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts can be calculated below:

P(x5) = (dots in 5 short mark + dots in 6 shot mark + dots in 7 short mark) / 25

= (9 + 2 + 1) / 25

 = 12 / 25

Therefore, the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

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Answer:

16000

Step-by-step explanation:

Simply add the two roughly in your head and round up or down to nearest thousand

Answer:

In right angle triangle ,hypotenuse is equal to sum of two other sides.so,

(h)^2=(p)^2+(b)^2

(8)^2=(3)^2+(x)^2

64=9+x^2

64-9=x^2

55=x^2

\(\sqrt{55}\)=x

7.4=x

Step-by-step explanation:

The probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

The number of times Jack flips the coin = 10.

The number of outcome on each flip = 2 {viz. Heads and Tails}.

Thus, the number of outcomes after flipping the coin 10 times = 2¹⁰.

The number of outcomes of getting all heads or tails = 2.

Thus, the probability = 2/2¹⁰ = 1/2⁹.

This can make a binomial distribution when repeated for 365 days, with parameters, n = 365, and p = 1/2⁹, showing P(X = x) as,

P(X = x) = nCx.pˣ.qⁿ ⁻ ˣ, where q = 1 - p.

Thus, we can calculate the probability P(X > 1) as follows:

P(X > 1)

= 1 - P(X ≤ 1)

= \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\)

= 1 - {365C0.(1/2⁹)⁰.(1 - 1/2⁹)³⁶⁵ + 365C1.(1/2⁹)¹.(1 - 1/2⁹)³⁶⁴}

= 1 - {0.489883478 + 0.34991677}

= 0.160199752.

Thus, the probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

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The ordered pair (1, 2) is not included in the solution set to the system of inequalities y < x^2 + 3 and y > x^2 - 2x + 8.

To determine which ordered pair is included in the solution set to the given system of inequalities, we need to evaluate each ordered pair by substituting the values into the inequalities and checking if they satisfy the conditions.

Let's consider the ordered pair (1, 2) as a candidate solution:

Substituting x = 1 and y = 2 into the first inequality:

2 < 1^2 + 3

2 < 4 (True)

Substituting x = 1 and y = 2 into the second inequality:

2 > 1^2 - 2(1) + 8

2 > 1 - 2 + 8

2 > 7 (False)

Since the second inequality is not satisfied, the ordered pair (1, 2) is not included in the solution set to the given system.

Therefore, the ordered pair (1, 2) is not included in the solution set.

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Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The length of midsegment of the trapizoid with bases 35 and 71 is 53.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.

A trapezoid differs from other quadrilaterals in that it has the following characteristics:

The length of midsegment is sum of bases divided by 2

therefore midsegment = (35 + 71)/2 = 53.

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Answer: Let's simplify step-by-step.

(((−3x)(2))(x))(a)+5(−7b)+12xcx(4)

=−6ax2+−35b+48cx2

Answer:

=−6ax2+48cx2−35b

Hope I helped?

Answer:

A) $0.6

The point (5,3) means that you get 5 pounds of lettuce for 3 dollars, which means that one pound of lettuce would cost 3/5 dollars.

B) It tells us that 10 pounds of lettuce costs $6.

The x value of the point on the this graph tells us the number of pounds of lettuce and the y value of the point tells us the cost of those pounds of lettuce.

Step-by-step explanation: BABABOOEY

It is proved that  ∠ADB ≅ ∠ADC using the SSS property of a triangle.

The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same. They are identical in terms of both dimensions shape and size.

Given AB = AC

∠1 = ∠2

Consider, triangke BDC

If two angles are equal then their opposite sides are equal. Therefore,

BD = DC

Now consider triangles ADB and ADC

AB = AC (given)

AD = AD ( common)

DB = DC (sides of an isosceles triangle)

So, ΔADB≅ΔADC [SSS property]

Now, we can write ∠ADB ≅ ∠ADC.

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Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

The solution to the system of equations is:

x = -131 and y = -63.5

To solve this system of equations, we can use the method of elimination, which involves adding or subtracting the equations in order to eliminate one of the variables.

To eliminate y, we can multiply the first equation by 2 and the second equation by 4, which gives:

2x - 8y = 246 (multiplying the first equation by 2)

4x - 8y = -16 (multiplying the second equation by 4)

We can now subtract the second equation from the first:

2x - 4x - 8y + 8y = 246 - (-16)

Simplifying, we get:

-2x = 262

Dividing both sides by -2, we get:

x = -131

Now that we know x, we can substitute this value into one of the original equations to find y. Let's use the first equation:

x - 4y = 123

Substituting x = -131, we get:

-131 - 4y = 123

Adding 131 to both sides, we get:

-4y = 254

Dividing both sides by -4, we get:

y = -63.5

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Step-by-step explanation:

because because if we solve for m in the first equation then the answer is -8 and from second equation the answer is also - 8 that's why the answer is yes

Answer:

\(\Large \boxed{\sf Yes}\)

Step-by-step explanation:

First equation:

\(m+3=-5\)

Subtract 3 from both sides

\(m+3-3=-5-3\)

\(m=-8\)

Second equation:

\(m-4=-12\)

Add 4 to both sides

\(m-4+4=-12+4\)

\(m=-8\)

m = -8  for both equations, therefore both equations are equivalent

Answer:

B

Step-by-step explanation:

The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is \(\frac{2}{3}\) .

What are Rational Numbers ?

The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .

Mathematically , the rational numbers are the numbers that can be expressed in the form of \(\frac{p}{q}\) , where \(q\neq 0\) .

So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.

Few Examples of that can expressed as ratio of integers are :

(i)  \(\frac{1}{2}\) , here 1 and 2 both are integers , and \(2\neq 0\) .

(ii) \(\frac{5}{6}\) , here 5 and 6 both are integers , and \(6\neq 0\) .

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Answer:

the slope is 2

Step-by-step explanation:

2-8

-2-1

-6/-3

slope is 2

slope is (y2-y1)/(x2-x1)

The bearing of the lighthouse from the fishing boat is 242

From the question, we have the following parameters that can be used in our computation:

The bearing of a fishing boat from a lighthouse is 118°.

The bearing of the lighthouse from the fishing boat is calculated as

The bearing of the lighthouse from the fishing boat = 360 - The bearing of a fishing boat from a lighthouse

Substitute the known values in the above equation, so, we have the following representation

The bearing of the lighthouse from the fishing boat = 360 - 118

Evaluate

The bearing of the lighthouse from the fishing boat = 242

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Answer:

answer is 28/3

I hope it helps you

:-))

Answer:

Step-by-step explanation:

Answer: I don't know

Step-by-step explanation:The annual interest rate is 5%, and the interest accrues at a compounding rate for five years. To calculate the monthly interest, simply divide the annual interest rate by 12 months. The resulting monthly interest rate is 0.417%

The equation of the trend line is given as follows:

y = 1.33x + 20.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

Two points on the line in this problem are given as follows:

(0, 20) and (15, 40).

When x = 0, y = 20, hence the intercept b is given as follows:

b = 20.

When x increases by 15, y increases by 20, hence the slope m is given as follows:

m = 20/15

m = 1.33.

Hence the function is given as follows:

y = 1.33x + 20.

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Answer:

11 gold fish

Step-by-step explanation:

We are told that

In a fish tank, 50% of the fish are clown fish and there are 33 clown fish in the fish tank.

Let the total number of fishes in the tank be = x

Hence,

50% of x = 33

50/100 × x = 33

50x/100 = 33

Cross Multiplying

50x = 33 × 100

x = 33 × 100/50

x = 66 fishes

Hence, the total number of fishes in the tank = 66 fishes

1/3 are angel fish

The number of angel fishes are

1/3 × 66 fishes = 22 angel fish

•The rest are goldfish. How many goldfish are there in the fish tank?

The number of gold fish is calculated as:

Total number of fishes -( Number of clown fish + Number of angel fish)

= 66 - (33 + 22)

= 66 - 55

= 11

Therefore, the number of gold fish is 11

Answer:

Step-by-step explanation:

1/33 because its 33 goldfish

No, each measure could not be the size of the container.

If it is possible for Payson to fill a 10-gallon jug using a smaller container for which she can fill it at most 18 times. We can approach this question by calculating the maximum amount of liquid Payson can transfer to the jug in 18 rounds. If this amount is greater than or equal to 10 gallons, then it is possible. To do this, we can multiply the size of the smaller container with the number of rounds and compare it with 10 gallons.

After calculation, we get that the maximum amount is 18 x container size which is less than 10 gallons for any container. Therefore, it is not possible for Payson to fill the 10-gallon jug using a smaller container for which she can fill it at most 18 times. The answer is no.

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The total number of male deer, female deer, adult deer and baby deer present in the park are 210

Given,

Number of male deer = 42

Number of female deer = 63

Number of adult deer = 72

Number of baby deer = 33

Now,

Add the above given data to get the total number of male deer, female deer, adult deer and baby deer present in the park.

That is,

Total number of male deer, female deer, adult deer and baby deer present in the park = 42+63+72+33 = 210

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Answer:

Step-by-step explanation:

My guess is that 10/36 students weren't playing sports.

Answer:

0.0533

Step-by-step explanation:

first remove the decimal points, then add a zero to the end.

205*

260  0*5,0*0,0*2=0. 6*5=30, but you carry the 3, so its another 0.

6*0+3=3

6*2=12

2*5=10, but you carry the one, so it is 0. 2*0+1=1

2*2=4

1230

4100=

5330, but we moved 0.26 2 spaces forward, and we moved 0.205 3 spaces forward too. in total, that makes 6 spaces, so now we have to move it back. 533-1 space

53.3-2 spaces           5.33-3 spaces          0.533-4   0.0533-5 spaces

Answer:

y=-0.25x+3.5

Step-by-step explanation:

Ik this

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

Answer:

15.08

Step-by-step explanation:

The area of land that can be covered by the light from the lighthouse is determined as  325.2 mi².

The area of land that can be covered by the light from the lighthouse is calculated as follows;

Area of sector = πr² x (θ/360)

where;

The angle covered by the land = 360 - 245⁰ = 115⁰

The area of the sector is calculated as follows;

A = π(18 mi) ² x (115/360)

A = 325.2 mi²

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